This is a second course in real analysis, further developing the concepts presented in MATH 310. Topics may include basic measure theory, the Lebesgue measure and Lebesgue’s theory of integration, normed linear spaces, and a rigorous treatment of limits and calculus in multidimensional spaces.
The course syllabus is available here.
- Homework 1 due Wednesday, January 29
- Homework 2 due Friday, February 7
- Homework 3 due Friday, February 14
- Test 1
- Test 2
There is no mandatory textbook for this course. I will post complete lecture notes and homework assignments on this page, and you do not need to purchase a textbook.
The primary reference I will be using is Lebesgue Integration on Euclidean Space by Frank Jones. I will also refer to Measure, Integral, and Probability by Marek Capińsky and Ekkehard Kopp.